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Precision determination of the pi N scattering lengths and the charged pi N N coupling constant

Jun, 1999
4 pages
Published in:
  • Nucl.Phys.A 663 (2000) 541-544
Contribution to:
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DOI:
Report number:
  • CERN-TH-99-221
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1999200320072011201301234
Abstract:
We critically evaluate the isovector GMO sumrule for the charged πNN\pi N N coupling constant using recent precision data from π−\pi ^-p and π−\pi^-d atoms and with careful attention to systematic errors. From the π−\pi ^-d scattering length we deduce the pion-proton scattering lengths 1/2(aπ−p+aπ−n)=(−20±6{1/2}(a_{\pi ^-p}+a_{\pi ^-n})=(-20\pm 6(statistic)±10 \pm 10 (systematic))~⋅10−4mπc−1\cdot 10^{-4}m_{\pi_c}^{-1} and 1/2(aπ−p−aπ−n)=(903±14)⋅10−4mπc−1{1/2}(a_{\pi ^-p}-a_{\pi ^-n})=(903 \pm 14)\cdot 10^{-4}m_{\pi_c}^{-1}. From this a direct evaluation gives gc2(GMO)/4π=14.20±0.07g^2_c(GMO)/4\pi =14.20\pm 0.07(statistic)±0.13\pm 0.13(systematic) or fc2/4π=0.0786±0.0008f^2_c/4\pi= 0.0786\pm 0.0008.
  • talk: Uppsala 1999/06/10
  • pi- p: atom
  • pi- deuteron: atom
  • deuterium: mesic atom
  • hydrogen: mesic atom
  • pi-: mesic atom
  • pi nucleon: scattering length
  • coupling constant: (2nucleon pi)
  • pi- deuteron: scattering length
  • sum rule: isovector